We express contrasting Ideas in these ways

the most common
·We'd love to stay for dinner, but we have got to get going
·They decided to stay in the area, in spite of their problems with the local residents
·Despite the difficulties of a long journey, Peter decided to visit India
·Getting a good job is hard work, however, most people eventually find one with patience
·There were a number of people who came, although the hotels were not equipped to handle them all
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